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Modification of Kaluza-Klein theory
Phys. Rev. D 41, 3709 – Published 15 June, 1990
DOI: https://doi.org/10.1103/PhysRevD.41.3709
Abstract
A modification of the traditional formulation of Kaluza-Klein theory is proposed in which the internal structure is described by a noncommutative geometry based on a semisimple algebra. The classical theory of Yang-Mills fields and of Dirac fermions is developed in the resulting geometry. The generalized connection is written down which should describe the unification of the Yang-Mills fields with gravity, but the gravitational sector is not described in detail. As an example the mass and charge spectrum of the Yang-Mills-Dirac theory are given for a specific internal structure.
References (14)
- A. Connes, Publ. I.H.E.S. 62, 257 (1986)
- M. Dubois-Violette, R. Kerner, and J. Madore, Phys. Lett. B 217, 485 (1989)
- M. Dubois-Violette, R. Kerner, and J. Madore, J. Math. Phys. 31, 316 (1990)
- M. Dubois-Violette, R. Kerner, and J. Madore, J. Math. Phys. 31, 323 (1990)
- M. Dubois-Violette, R. Kerner, and J. Madore, Class. Quantum Grav. 6, 1709 (1989)
- M. Dubois-Violette, R. Kerner, and J. Madore (unpublished)
- J. Madore, Mod. Phys. Lett. A 4, 2617 (1989)
- M. Dubois-Violette, C. R. Acad. Sci. Paris 307, 403 (1988)
- N. S. Manton, Nucl. Phys. B158, 141 (1979)
- R. Kerner, L. Nikolova, and V. Rizov, Lett. Math. Phys. 14, 333 (1987)
- D. Lovelock, J. Math. Phys. 12, 498 (1971)
- N. Deruelle and J. Madore, Phys. Lett. 114A, 185 (1986) Mod. Phys. Lett. A 1, 237 (1986)
- O. Bratteli and D. W. Robinson, Operator Algebras and Quantum Statistical Mechanics I (Springer, Berlin, 1979)
- C. Domokos and S. Kövesi-Domokos, Phys. Rev. D 16, 3060 (1977)